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State whether the following is True or False : One of the assumptions made while sequencing n jobs on 2 machines is: two jobs must be loaded at a time on any machine. - Mathematics and Statistics

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प्रश्न

State whether the following is True or False :

One of the assumptions made while sequencing n jobs on 2 machines is: two jobs must be loaded at a time on any machine.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

One of the assumptions made while sequencing n jobs on 2 machines is: two jobs must be loaded at a time on any machine False.

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Types of Sequencing Problem
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Assignment Problem and Sequencing - Miscellaneous Exercise 7 [पृष्ठ १२८]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 7 Assignment Problem and Sequencing
Miscellaneous Exercise 7 | Q 3.1 | पृष्ठ १२८

संबंधित प्रश्न

A machine operator has to perform two operations, turning and threading on 6 different jobs. The time required to perform these operations (in minutes) for each job is known. Determine the order in which the jobs should be processed in order to minimize the total time required to complete all the jobs. Also find the total processing time and idle times for turning and threading operations.

Job 1 2 3 4 5 6
Time of turning 3 12 5 2 9 11
Time for threading 8 10 9 6 3 1

A company has three jobs on hand. Each of these must be processed through two departments, in the order AB where
Department A: Press shop and
Department B: Finishing
The table below gives the number of days required by each job in each department

Job I II III
Department A 8 6 5
Department B 8 3 4

Find the sequence in which the three jobs should be processed so as to take minimum time to finish all the three jobs. Also find idle time for both the departments.


There are five jobs, each of which must go through two machines in the order XY. Processing times (in hours) are given below. Determine the sequence for the jobs that will minimize the total elapsed time. Also find the total elapsed time and idle time for each machine.

Job A B C D E
Machine X 10 2 18 6 20
Machine Y 4 12 14 16 8

If there are n jobs and m machines, then there will be_______ sequences of doing the jobs.


Choose the correct alternative :

In solving 2 machine and n jobs sequencing problem, the following assumption is wrong


State whether the following is True or False :

The time involved in moving a job from one machine to another is negligibly small.


Solve the following problem :

Five jobs must pass through a lathe and a surface grinder, in that order. The processing times in hours are shown below. Determine the optimal sequence of the jobs. Also find the idle time of each machine.

Job I II III IV V
Lathe 4 1 5 2 5
Surface grinder 3 2 4 3 6

Solve the following problem :

A foreman wants to process 4 different jobs on three machines: a shaping machine, a drilling machine and a tapping machine, the sequence of operations being shaping-drilling-tapping. Decide the optimal sequence for the four jobs to minimize the total elapsed time. Also find the total elapsed time and the idle time for every machine.

Job Shaping (Minutes) Drilling (Minutes) Trapping (Minutes)
1 13 3 18
2 18 8 4
3 8 6 13
4 23 6 8

If there are n jobs and m machines, then there will be _______ sequence of doing jobs.


Choose the correct alternative:

In solving 2 machine and n jobs sequencing problem, the following assumption is wrong


In assignment problem each worker or machine is ______ capable of handling any job


State whether the following statement is True or False: 

One of the assumptions is made while sequencing n jobs on 2 machines is: two jobs must be loaded at a time on any machine


State whether the following statement is True or False:

The Total Elapsed is the time required to complete all the jobs i.e. entire task


State whether the following statement is True or False: 

In sequencing problem each job once started on any machine must be processed still its completion


Find the sequence that minimizes total elapsed time to complete the following jobs in the order XY. Find the total elasped time and idle times for each machine.

Jobs A B C D E
Machine X 10 2 18 6 20
Machine Y 4 12 14 16 8

The processing times required for four jobs A, B, C and D on machine M1 are 5, 8, 10 and 7 hours and on machine M2 it requires 7, 4, 3 and 6 hours respectively. The jobs are processed in the order Ml, M2. The sequence that minimises total elapsed time is ______


A publisher produces 5 books on Mathematics. The books have to go through composing, printing and binding done by 3 machines A, B, C. The time schedule for the entire task in proper unit is as follows :

Book I II III IV V
Machine A 4 9 8 6 5
Machine B 5 6 2 3 4
Machine C 8 10 6 7 11

Determine the optimum time required to finish the entire task. Also, find idle time for machines A, B, C.


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